1. What is a Curved Ramp Calculator?

Definition: This calculator computes the arc length of a curved ramp based on the central angle and radius of curvature.

Purpose: It helps architects, engineers, and construction professionals determine the exact length of curved ramps for accessibility, parking structures, and landscape design.

2. How Does the Calculator Work?

The calculator uses the arc length formula:

Where:

• \( L \) — Arc length (feet)
• \( θ \) — Central angle (degrees)
• \( R \) — Radius of curvature (feet)
• \( π \) — Pi (approximately 3.14159)

Explanation: The formula converts the angle from degrees to radians and multiplies by the radius to get the arc length.

3. Importance of Curved Ramp Calculation

Details: Accurate arc length calculation ensures proper ramp design that meets accessibility standards, provides comfortable slopes, and fits within available space.

4. Using the Calculator

Tips: Enter the central angle in degrees and the radius in feet. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What's a typical angle for accessible ramps?
A: ADA guidelines recommend a maximum slope of 4.8° (1:12 ratio) for accessible ramps.

Q2: How do I measure the radius of a curved ramp?
A: Measure from the center point of the curve to the centerline of the ramp path.

Q3: Can I use this for spiral ramps?
A: For spiral ramps, calculate each 360° segment separately and sum the lengths.

Q4: What's the relationship between arc length and ramp slope?
A: The vertical rise is determined by the arc length multiplied by the sine of the slope angle.

Q5: How does this differ from straight ramp calculation?
A: Straight ramps use simple right triangle trigonometry, while curved ramps require circular arc calculations.